New non-perturbative de Sitter vacua in ${\alpha }^{\prime }$-complete cosmology

Abstract

The ${\alpha }^{\prime }$-complete cosmology developed by Hohm and Zwiebach classifies the $\mathrm{O}(d,d;\mathbb{R})$ invariant theories involving metric, $b$-field and dilaton that only depend on time, to all orders in ${\alpha }^{\prime }$. Some of these theories feature non-perturbative isotropic de Sitter vacua in the string frame, generated by the infinite number of higher-derivatives of $\mathrm{O}(d,d;\mathbb{R})$ multiplets. Extending the isotropic ansatz, we construct stable and unstable non-perturbative de Sitter solutions in the string and Einstein frames. The generalized equations of motion admit new solutions, including anisotropic $d+1$-dimensional metrics and non-vanishing $b$-field. In particular, we find dS${}_{n+1}\times T^{d-n}$ geometries with constant dilaton, and also metrics with bounded scale factors in the spatial dimensions with non-trivial $b$-field. We discuss the stability and non-perturbative character of the solutions, as well as possible applications.

52 pages, 2 figures; v2: 53 pages, 2 figures, discussions, references and acknowledgements added

References in corpus (8)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Tensor Modes from a Primordial Hagedorn Phase of String Cosmology
• Heterotic Effective Action and Duality Symmetries Revisited
• Heterotic $\alpha$'-corrections in Double Field Theory
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• Non-singular string cosmology via ${\alpha }^{\prime }$ corrections
• Construct ${\alpha }^{\prime }$ corrected or loop corrected solutions without curvature singularities

Cited by in corpus (3)

• Kalb-Ramond backgrounds in ${\alpha }^{\prime }$-complete cosmology
• Stability of the non-perturbative $O(D,D)$ de-Sitter spacetime. The isotropic case
• Duality covariant field redefinitions